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MSE (Mean Squared Error)

Metric calculating the average of squared errors, penalizing large errors more than small errors in model evaluation.

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RMSE (Root Mean Squared Error)

Square root of MSE, providing an error measure in the same unit as the target variable while maintaining the penalty for large errors.

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R² (Coefficient of Determination)

Statistical indicator measuring the proportion of the target variable's variance explained by the model, ranging between 0 and 1 (or negative for very poor models).

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MAPE (Mean Absolute Percentage Error)

Metric expressing the average error as a percentage of actual values, facilitating interpretation and comparison between models or datasets.

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RMSLE (Root Mean Squared Logarithmic Error)

Variant of RMSE applied to the logarithms of values, particularly suitable for data with exponential distribution or to reduce the impact of outliers.

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MedAE (Median Absolute Error)

Median of absolute errors, providing a robust measure against outliers unlike MAE which uses the mean.

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Explained Variance Score

Metric evaluating the proportion of data variance explained by the model, similar to R² but without constraints on prediction bias.

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Mean Squared Log Error (MSLE)

Metric calculating the average of squared logarithmic errors, ideal for predictions where relative errors are more important than absolute errors.

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Quantile Loss

Asymmetric loss function used to predict specific quantiles of the conditional distribution, penalizing underestimations and overestimations differently.

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Mean Absolute Scaled Error (MASE)

Relative metric comparing the mean absolute error of the model to that of a naive reference method, independent of data scale.

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SMAPE (Symmetric Mean Absolute Percentage Error)

Symmetric variant of MAPE avoiding division by zero issues and providing better balance between overestimation and underestimation.

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Mean Bias Error (MBE)

Metric measuring systematic bias of the model by calculating the mean of non-absolute errors, indicating whether the model tends to overestimate or underestimate.

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Relative Absolute Error (RAE)

Normalized metric comparing the total absolute error of the model to that of a naive predictor, expressed as a unitless ratio.

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Root Relative Squared Error (RRSE)

Square root of relative squared error, normalizing RMSE relative to the error of a simple reference model.

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Theil's U Coefficient

Comparative forecasting metric measuring the relative performance of the model compared to a naive forecast, with U=0 indicating perfect prediction.

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Nash-Sutcliffe Efficiency (NSE)

Efficiency coefficient ranging from -∞ to 1, measuring the model's ability to predict observed values relative to the mean of observations.

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Mean Directional Accuracy (MDA)

Metric evaluating the model's ability to correctly predict the direction of changes between successive observations, crucial for financial applications.

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Adjusted R²

Modified version of R² that adjusts the score based on the number of predictors in the model, avoiding artificial overvaluation when adding variables.

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